Cumulative Exam — Cumulative exam Answers

Which graph shows the correct solution to the linear-quadratic system of inequalities below?

Which of the following is the inverse of ?

Based on the type of equations in the system, what is the greatest possible number of solutions?

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?A = lw

Which graph represents the function ?

What are the domain and range of the function f(x) = 4?

Which equation is the inverse of y = x2 + 16?

What is the solution of ?

What is the solution of ?

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

What is the solution of ?

Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?

Which of the following is true regarding the solution to the logarithmic equation below?

Which expression is equivalent to the following complex fraction?

For what value of x does ?

Which equation describes a rational function with x-intercepts at –4 and 2, a vertical asymptote at x = 1 and x = –1, and a horizontal asymptote at y = –3?

Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function?

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acceleration due to gravity is –16 ft/s2, approximately how many seconds after the launch will the toy rocket reach the ground?h(t) = at2 + vt + h0

Look at this image.Choose the function that represents the triangular numbers.

An object falls from a window. The distance the object has traveled, d, varies jointly with the acceleration due to gravity and the square of the time elapsed. The object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. Assuming the object continues to fall and the acceleration due to gravity remains the same, what is the total distance the object travels in 2 seconds?